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For all complex numbers z1, z2 satisfyillg |z2| = 12 and |z2 - 3 - 4i| = 5, the minimum value of |z1 - z2| is

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For all complex numbers z1, z2 satisfyillg |z2| = 12 and |z2 - 3 - 4i| = 5, the minimum value of |z1 - z2| is

(a) 0

(b) 2

(c) 7

(d) 17

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1 Answer

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Best answer

The correct option is (b) 2

Explanation:

Alternate Solution

 

Clearly from the figwe |z1 - z2| is minimum when z1, z2 lie along the diameter

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